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131330022131 = 7112277513589
BaseRepresentation
bin111101001001111100…
…0010001101011110011
3110112222121121100222202
41322103320101223303
54122430441202011
6140155430053415
712326323524620
oct1722370215363
9415877540882
10131330022131
1150773412480
12215521aa26b
13c4cc5c1889
1464dbda3347
1536399d423b
hex1e93e11af3

131330022131 has 16 divisors (see below), whose sum is σ = 164457457920. Its totient is φ = 101884253280.

The previous prime is 131330022121. The next prime is 131330022281. The reversal of 131330022131 is 131220033131.

It is a cyclic number.

It is not a de Polignac number, because 131330022131 - 26 = 131330022067 is a prime.

It is a super-2 number, since 2×1313300221312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131330022101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3739316 + ... + 3774273.

It is an arithmetic number, because the mean of its divisors is an integer number (10278591120).

Almost surely, 2131330022131 is an apocalyptic number.

131330022131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131330022131 is a deficient number, since it is larger than the sum of its proper divisors (33127435789).

131330022131 is a wasteful number, since it uses less digits than its factorization.

131330022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513834.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131330022131 its reverse (131220033131), we get a palindrome (262550055262).

The spelling of 131330022131 in words is "one hundred thirty-one billion, three hundred thirty million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 7 11 77 227 1589 2497 17479 7513589 52595123 82649479 578546353 1705584703 11939092921 18761431733 131330022131